Follow-up from "New modules:tidy and modules:download jobs"

The following discussion from !784 (merged) should be addressed:

• @patrickbajao started a discussion: (+2 comments)

  Should we utilize cache when running tests and race detection as well? Following the inspiration (https://gitlab.com/gitlab-org/container-registry/-/blob/767b38d631ee5e905dc943106b1f37807b001276/.gitlab/ci/test.yml#L19), they do this as well. 🙂